What is 21.12 percent of 2.56 - step by step solution

To get the solution, we are looking for, we need to point out what we know.

1. We assume, that the number 2.56 is 100% - because it's the output value of the task.
2. We assume, that x is the value we are looking for.
3. If 2.56 is 100%, so we can write it down as 2.56=100%.
4. We know, that x is 21.12% of the output value, so we can write it down as x=21.12%.
5. Now we have two simple equations:
1) 2.56=100%
2) x=21.12%
where left sides of both of them have the same units, and both right sides have the same units, so we can do something like that:
2.56/x=100%/21.12%
6. Now we just have to solve the simple equation, and we will get the solution we are looking for.

7. Solution for what is 21.12% of 2.56

2.56/x=100/21.12
(2.56/x)*x=(100/21.12)*x       - we multiply both sides of the equation by x
2.56=4.7348484848485*x       - we divide both sides of the equation by (4.7348484848485) to get x
2.56/4.7348484848485=x
0.540672=x
x=0.540672

now we have:
21.12% of 2.56=0.540672